Atkin-Lehner |
2+ 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826b |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-494888238 = -1 · 2 · 33 · 13 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48,-1066] |
[a1,a2,a3,a4,a6] |
Generators |
[13:13:1] [55:373:1] |
Generators of the group modulo torsion |
j |
-458314011/18329194 |
j-invariant |
L |
5.1690644121856 |
L(r)(E,1)/r! |
Ω |
0.72346470273273 |
Real period |
R |
1.1908123950071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20826q1 |
Quadratic twists by: -3 |